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Finding the Fourth Proportional to 754.49, 1,040.94 and 459.65

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Solution

The fourth proportional to 754.49, 1,040.94 and 459.65 is: 634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.49 : 1,040.94 = 459.65 : x
  2. Step 2: Convert to fraction form
    754.49/1,040.94 = 459.65/x
  3. Step 3: Cross multiply
    754.49x = 1,040.94 × 459.65
  4. Step 4: Simplify right side
    754.49x = 478,462.87
  5. Step 5: Solve for x
    x = 478,462.87/754.49
  6. Step 6: Final answer
    x = 634.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.